Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C13⋊C3

Direct product G=N×Q with N=C6 and Q=C2×C13⋊C3
dρLabelID
C2×C6×C13⋊C3156C2xC6xC13:C3468,47

Semidirect products G=N:Q with N=C6 and Q=C2×C13⋊C3
extensionφ:Q→Aut NdρLabelID
C6⋊(C2×C13⋊C3) = C2×S3×C13⋊C3φ: C2×C13⋊C3/C13⋊C3C2 ⊆ Aut C6786C6:(C2xC13:C3)468,34

Non-split extensions G=N.Q with N=C6 and Q=C2×C13⋊C3
extensionφ:Q→Aut NdρLabelID
C6.(C2×C13⋊C3) = Dic3×C13⋊C3φ: C2×C13⋊C3/C13⋊C3C2 ⊆ Aut C61566C6.(C2xC13:C3)468,20
C6.2(C2×C13⋊C3) = C4×C13⋊C9central extension (φ=1)4683C6.2(C2xC13:C3)468,2
C6.3(C2×C13⋊C3) = C22×C13⋊C9central extension (φ=1)468C6.3(C2xC13:C3)468,12
C6.4(C2×C13⋊C3) = C12×C13⋊C3central extension (φ=1)1563C6.4(C2xC13:C3)468,22

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